California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What type of angles are involved with the angle of elevation and angle of depression?

  1. Complementary angles

  2. Vertical angles

  3. Angles formed by intersecting lines

  4. Alternate interior angles

The correct answer is: Complementary angles

The angle of elevation and the angle of depression are related through their geometric properties, specifically as complementary angles. When considering a horizontal line of sight, the angle of elevation is formed when you look upward from that line toward an object above it. Conversely, the angle of depression occurs when you look downward from the horizontal line of sight toward an object below it. Since the angle of elevation and angle of depression are both measured with respect to the same horizontal line, they will sum up to 90 degrees, thus fulfilling the definition of complementary angles, which are two angles that add up to 90 degrees. Understanding this relationship is crucial in various applications such as surveying, navigation, and trigonometry, where calculating angles and distances accurately is important.